The generator matrix

 1  0  0  1  1  1  1  1  1  1  1  1  1  1  1  1  0  2  1  1 2a  1  1
 0  1  0  1  a 3a+3  0  1 3a+2  a 3a+3 2a+3 a+1 2a+2 2a a+3  1 2a+2 3a+2 2a+1  1 3a+3 2a+2
 0  0  1 3a+3  a  1  a  1 3a+3  0 3a+1  0  a  1 a+1 2a+2 2a  1 3a+2 2a+3 3a 2a+3 2a+3
 0  0  0  2  0  2  0  2 2a+2 2a 2a  0  2 2a 2a 2a 2a  2  2 2a+2 2a+2 2a  2
 0  0  0  0  2 2a+2 2a  2  0 2a  0 2a+2 2a  0  2  2  2 2a+2  2 2a  2 2a  0

generates a code of length 23 over GR(16,4) who´s minimum homogenous weight is 56.

Homogenous weight enumerator: w(x)=1x^0+207x^56+108x^57+252x^58+1212x^59+726x^60+576x^61+1392x^62+2976x^63+2226x^64+1944x^65+3912x^66+8568x^67+4251x^68+3456x^69+6192x^70+10560x^71+4392x^72+2844x^73+3612x^74+4332x^75+1356x^76+288x^77+87x^80+51x^84+15x^88

The gray image is a code over GF(4) with n=92, k=8 and d=56.
This code was found by Heurico 1.16 in 5.07 seconds.